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Abstract Details

Activity Number: 661
Type: Contributed
Date/Time: Thursday, August 2, 2012 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #304441
Title: A Generalized Multistage Gatekeeping Procedure
Author(s): Dong Xi*+ and Ajit C. Tamhane
Companies: Northwestern University and Northwestern University
Address: Department of Statistics, Evanston, IL, 60208, United States
Keywords: Serial gatekeeping ; Parallel gatekeeping ; Closed procedures ; Truncated procedures ; Graphical procedures ; Mixture procedures

A generalized multistage gatekeeping procedure is proposed to provide a general framework to arbitrary gatekeeping problems including serial and parallel gatekeeping. We consider the problem in which the successive family can be tested if and only if at least r out of n hypotheses in the current family are rejected, where r can be any integer number ranging from 1 to n. Thus serial and parallel gatekeeping are two special cases of this framework. We use the same idea of carrying forward the Type I error rate for any newly rejected hypotheses after r-1 rejections to test hypotheses in the next ordered family by using general separable multiple testing procedures (MTPs). Truncated versions of many standard MTPs such as Holm, Hochberg, Hommel, fallback and Dunnett are introduced by first defining truncated closed procedures. Connections among the proposed procedure, mixture procedures and graphical approaches are also discussed.

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